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Finding the Fourth Proportional to 2,103.93, 3,152.64 and 1,281.99

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Solution

The fourth proportional to 2,103.93, 3,152.64 and 1,281.99 is: 1,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.93 : 3,152.64 = 1,281.99 : x
  2. Step 2: Convert to fraction form
    2,103.93/3,152.64 = 1,281.99/x
  3. Step 3: Cross multiply
    2,103.93x = 3,152.64 × 1,281.99
  4. Step 4: Simplify right side
    2,103.93x = 4,041,637.19
  5. Step 5: Solve for x
    x = 4,041,637.19/2,103.93
  6. Step 6: Final answer
    x = 1,921.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.